Year plan Australian Curriculum Mathematics

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Year plan Australian Curriculum Mathematics Powered By Docstoc
					Year 5 plan — Australian Curriculum: Mathematics                                                                                                                                                                                                                   DRAFT
                         Year level description            At this year level:
                                                           Understanding includes making connections between representations of numbers, using fractions to represent probabilities, comparing and ordering fractions and decimals and representing
                                                           them in various ways
 Identify curriculum




                                                           Fluency includes choosing appropriate units of measurement for calculation of perimeter and area, using estimation to check the reasonableness of answers to calculations and using instruments
                                                           to measure angles
                                                           Problem Solving includes formulating and solving authentic problems using numbers and measurements, creating transformations and identifying line and rotational symmetries
                                                           Reasoning includes investigating strategies to perform calculations efficiently, creating financial plans, interpreting results of chance experiments and interpreting data sets.
                         Achievement standard              By the end of Year 5, students identify and describe factors and multiples and use estimation and rounding to check the reasonableness of answers. They solve multiplication and division
                                                           problems and compare, order and represent decimals. Students perform addition and subtraction of fractions with the same denominator and continue patterns with fractions and decimals. They
                                                           plan simple budgets. Students list the outcomes of chance experiments as fractions. They pose questions to gather data and construct, describe and interpret different data sets. Students
                                                           calculate perimeter and area of rectangles using appropriate units. They connect three-dimensional objects with two-dimensional representations. They measure and construct different angles
                                                           and describe transformations of two-dimensional shapes, including the enlargement transformation. They identify line and rotational symmetry.
                         Term overview                     Term 1                                                       Term 2                                                 Term 3                                            Term 4
                                                           During this term students will be taught to:                 During this term students will be taught to:           During this term students will be taught to:      During this term students will be taught to:
                                                            identify and describe fractions and                          revise and consolidate Term 1 concepts as             revise and consolidate Term 1 and 2             revise and consolidate Term 1, 2 and 3
                                                             multiples                                                     required                                               concepts as required                             concepts as required
                                                            use estimation, rounding and efficient                       solve problems involving multiplication of            compare and order common unit fractions         develop strategies to solve problems
                                                             mental and written strategies to solve                        large numbers by one- and two-digit whole              and represent them on a number line              involving the addition and subtraction of
                                                             problems and check reasonableness of of                       numbers                                               solve problems involving the addition and        fractions
                                                             answers to calculations                                      solve problems involving division by one               subtraction of fractions with the same          create simple financial plans
                                                            compare and order common unit fractions                       digit                                                  denominator                                     use grid references for locations and use
                                                             and represent them on a number line                          investigate number systems beyond                     investigate patterns with fractions              directional language
                                                            investigate patterns with fractions, decimals                 hundredths                                            use equivalent number sentences involving       investigate chance and probability.
                                                             and whole numbers                                            calculate the perimeter and area of                    multiplication and division to find unknown
 Teaching and learning




                                                            use 12- and 24-hour time systems                              rectangles                                             quantities
                                                            describe translations, reflections and                       investigate three-dimensional shapes and              use appropriate units of measurement for
                                                             rotations                                                     their nets.                                            length, area, volume, capacity and mass
                                                            explore symmetry and transformations                                                                                estimate, measure, compare and construct
                                                            pose questions to allow for the collection of                                                                        angles
                                                             data                                                                                                                investigate chance, including outcomes of
                                                            construct data displays                                                                                              chance experiments and probabilities
                                                                                                                                                                                  ranging from 0 to 1
                                                            revise and consolidate Year 4 concepts as
                                                             required.                                                                                                           pose questions and collect categorical data
                                                                                                                                                                                 construct data displays
                                                                                                                                                                                 describe and interpret data sets.
                                                                                                                                                                               Exemplar unit: Playing fair
                         General capabilities and          Opportunities to engage with:                                Opportunities to engage with:                          Opportunities to engage with:                     Opportunities to engage with:
                         cross-curriculum priorities

                                                                                                                                                                               ASIA SUST
                                                                          SUST                                                                                                                                                               ASIA

                         Key to general capabilities and
                                                               Literacy           Numeracy             ICT competence            Critical and creative thinking     Ethical behaviour       Personal and social competence      Intercultural understanding
                         cross-curriculum priorities
                                                                           Aboriginal and Torres Strait Islander histories and cultures    ASIA Asia and Australia’s engagement with Asia    SUST Sustainability




                                                                                                                                                                                                                                   Queensland Studies Authority April 2011 DRAFT   |   1
                                 Assessment            Teachers and students organise evidence of learning in individual folios. The individual folio is co-constructed as an ongoing process between a teacher, a student, parents/carers and other
                                                       partners. It becomes a dynamic record of examples of a student’s learning and development.
                                                       Term 1                                           Term 2                                            Term 3                                           Term 4
                                                       Week     Assessment instrument                   Week      Assessment instrument                   Week     Assessment instrument                   Week      Assessment instrument
                                                       1        Initial assessment                      5         Written: Short response                 3        Written: Short response                 4–7       Written: Extended response
                                                                To identify Year 5 consolidation                  Test multiplication strategies.                  Test addition and subtraction of                  Create a travel itinerary using:
                                                                needs and learning goals (e.g. KWL,                                                                fractions with the same                             mapping
                                                                teacher/student conference)                                                                        denominators.
                                                                                                                                                                                                                       budgets
                                                                                                                                                                                                                       estimation and calculations of
            Develop assessment




                                                                                                                                                                                                                        money using the four operations
                                                                                                                                                                                                                       directional language.
                                                       3–4      Written: Journal                        8–9       Written: Short response                 5        Spoken/signed: Demonstration
                                                                Create a day planner using 12- and                Calculate perimeter and area of                  Select appropriate units to measure:
                                                                24-hour time.                                     rectangles.                                        volume
                                                                                                                                                                     capacity
                                                                                                                                                                     mass
                                                                                                                                                                     angles (with protractors).
                                                       7–8      Written: Model                                                                            6–8      Multimodal
                                                                Design using translations,                                                                         Design a game, “Playing fair”:
                                                                reflections, rotations, symmetry, and                                                                use patterns and fractions
                                                                transformations.
                                                                                                                                                                     explain probability within a board
                                                                                                                                                                      game.


                                                                                                                  NAPLAN
                                 Moderation            Teachers develop tasks and plan units.           Teachers develop tasks and plan units.            Teachers develop tasks and plan units.           Teachers develop tasks and plan units.
        Make judgments and




                                                       Teachers co-mark tasks to ensure consistency     Teachers co-mark tasks to ensure consistency      Teachers identify A–E samples before marking     Teachers co-mark tasks to ensure consistency
           use feedback




                                                       of judgments.                                    of judgments.                                     the multimodal task, and moderate to ensure      of judgments.
                                                                                                        Curriculum leaders randomly sample folios to      consistency of judgments.                        Curriculum leaders randomly sample folios to
                                                                                                        check for consistency of judgments.               Teachers co-mark tasks to ensure consistency     check for consistency of teacher judgments.
                                                                                                                                                          of judgments.




2   |      Year 5 plan Australian Curriculum: Mathematics
Year 5 Mathematics: review for balance and coverage of content descriptions


 Number and Algebra                                1   2   3   4      Measurement and Geometry                              1   2   3   4   Statistics and Probability                               1    2     3        4
 Number and place value                                               Using units of measurement                                            Chance
 Identify and describe factors and multiples of                      Choose appropriate units of measurement for                          List outcomes of chance experiments involving                               
 whole numbers and use them to solve                                  length, area, volume, capacity and mass                               equally likely outcomes and represent probabilities
 problems                                                                                                                                   of those outcomes using fractions
                                                                      Calculate the perimeter and area of rectangles            
 Use estimation and rounding to check the                           using familiar metric units                                           Recognise that probabilities range from 0 to 1                              
 reasonableness of answers to calculations                            Compare 12- and 24-hour time systems and                             Data representation and interpretation
 Solve problems involving multiplication of                         convert between them
 large numbers by one- or two-digit numbers                                                                                                 Pose questions and collect categorical or                          
                                                                      Shape                                                                 numerical data by observation or survey
 using efficient mental, written strategies and
 appropriate digital technologies                                     Connect three-dimensional objects with their nets                    Construct displays, including column graphs, dot                   
                                                                      and other two-dimensional representations                             plots and tables, appropriate for data type, with
 Solve problems involving division by a one-                                                                                              and without the use of digital technologies
 digit number, including those that result in a                       Location and transformation
 remainder                                                            Use a grid reference system to describe locations.                   Describe and interpret different data sets in                               
                                                                      Describe routes using landmarks and directional                       context
 Use efficient mental and written strategies              
 and apply appropriate digital technologies to                        language
 solve problems                                                       Describe translations, reflections and rotations of   
 Fractions and decimals                                               two-dimensional shapes. Identify line and
                                                                      rotational symmetries
 Compare and order common unit fractions                  
 and locate and represent them on a number                            Apply the enlargement transformation to familiar      
 line                                                                 two-dimensional shapes and explore the
                                                                      properties of the resulting image compared with
 Investigate strategies to solve problems                           the original
 involving addition and subtraction of fractions
 with the same denominator                                            Geometric reasoning
 Recognise that the number system can be                             Estimate, measure and compare angles using                    
 extended beyond hundredths                                           degrees. Construct angles using a protractor
 Compare, order and represent decimals                    
 Money and financial mathematics
 Create simple financial plans                                 
 Patterns and algebra
 Describe, continue and create patterns with              
 fractions, decimals and whole numbers
 resulting from addition and subtraction
 Use equivalent number sentences involving                 
 multiplication and division to find unknown
 quantities




                                                                                                                                                                         Queensland Studies Authority April 2011 DRAFT       |   3

				
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